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Toda and Volterra lattice equations from discrete symmetries of KP hierarchies

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Abstract

The discrete models of the Toda and Volterra chains are being constructed out of the continuum two-boson KP hierarchies. The main tool is the discrete symmetry preserving the Hamiltonian structure of the continuum models. The two-boson currents of KP hierarchy are being associated with sites of the corresponding chain by successive actions of discrete symmetry.

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English

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Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, v. 316, n. 1, p. 85-92, 1993.

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